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Finding the Fourth Proportional to 206,990.40, 285,755.52 and 139,362.96

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Solution

The fourth proportional to 206,990.40, 285,755.52 and 139,362.96 is: 192,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,990.40 : 285,755.52 = 139,362.96 : x
  2. Step 2: Convert to fraction form
    206,990.40/285,755.52 = 139,362.96/x
  3. Step 3: Cross multiply
    206,990.40x = 285,755.52 × 139,362.96
  4. Step 4: Simplify right side
    206,990.40x = 39,823,735,103.54
  5. Step 5: Solve for x
    x = 39,823,735,103.54/206,990.40
  6. Step 6: Final answer
    x = 192,394.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.